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from itertools import product
V='∀'
E='∃'


def tt(f,n) :
  xss=product((0,1),repeat=n)
  print('function:',f.__name__)
  for xs in xss : print(*xs,':',int(f(*xs)))
  print('')

# p \/ (q /\ r) = (p \/ q) /\ (p \/ r)

def prob1(p,q,r) :
  x=p or (q and r)
  y= (p or q) and (p or r)
  return x==y

tt(prob1,3)

# p/\(q\/r)=(p/\q)\/(p/\r)

def prob2(p,q,r) :
  x=p and ( q or r )
  y=(p and q) or (p and r)
  return x==y

tt(prob2,3)

#~(p/\q)=(~p\/~q)

def prob3(p,q) :
  x=not (p and q)
  y=(not p) or (not q)
  return x==y
tt(prob3,2)

#(~(p\/q))=((~p)/\~q)

def prob4(p, q):
   x = not(p or q)
   y = not p and not q
   return x == y

tt(prob4, 2)

#(p/\(p=>q)=>q)

def prob5(p,q):
  x= p and ( not p or q)
  return not x or q
    
tt(prob5,2)

# (p=>q)=((p\/q)=q)

def prob6(p,q) :
  x = (not p or q)
  y=((p or q) == q)
  return x==y
 
tt(prob6,2)


#((p=>q)=(p\/q))=q
def prob7(p,q):
  if ((not p or q)==(p or q))==q:
    return 1
 
tt(prob7,2)



#(p=>q)=((p/\q)=p)
def prob8(p,q):
  if (not p or q)==((p and q)==p):
    return 1
 
tt(prob8,2)


#((p=>q)=(p/\q))=p

def prob9(p,q):
  if ((not p or q)==(p and q))==p:
    return '1'

tt(prob9,2)



#(p=>q)/\(q=>r)=>(p=>r)
def prob10(p,q,r) :
  x = not ((not p or q) and (not q or r)) or (not p or r)
  return x
 
tt(prob10, 3)


# (p = q) /\ (q => r)  => (p => r)
#answer 1
def prob11(p,q,r) :
  x = not((p is q) and (not q or r)) or (not p or r)
  return x
 
tt(prob11, 3)

#(p=q)/\(q=>r)=>(p=>r)
#answer 2
def prob11(p,q,r):
  x=(p==q) and (not q or r)
  y=not p or r
  return not x or y

tt(prob11,3)

#((p=>q)/\(q=r))=>(p=>r)

def prob12(p,q,r):
  x=(not p or q) and ( q==r )
  y=not p or r
  return not x or y

tt(prob12,3)

#(p=>q)=>((p/\r)=>(q/\r))

def prob13(p,q,r):
  x=not p or q
  y=(not(p and r) or ( q and r))
  return not x or y

tt(prob13,3)

#Question#2----------------------------------------

#(p=>q)=>r=p=>(q=>r)

def prob14(p,q,r):
  x=(not(not p or q) or r)
  y=(not p or (not q or r))
  return x==y

tt(prob14,3) 


def prob15(p, q):
    x = not(p and q)
    y = not p and not q
    return x == y

tt(prob15, 2)


def prob16(p, q):
    x = not(p or q)
    y = not p or not q
    return x == y

tt(prob16, 2)



def prob17(p):
    x = p
    y = not p
    return x == y

tt(prob17, 1)
class ProposalParser:
    """A class to parse IKE and ESP proposal strings into human-readable formats.

    This class supports parsing of IKE and ESP proposals, extracting encryption, hash, PRF (for IKE),
    and Diffie-Hellman (DH) group information. It also handles the concatenation of these components
    into a structured format, indicating whether Perfect Forward Secrecy (PFS) is enabled for ESP proposals.
    The parser uses predefined mappings for DH groups, encryption algorithms, hash functions, and Pseudo-Random Functions (PRFs).
    It can process a list of proposals and return a formatted string summarizing the cryptographic parameters.
    Attributes:

        dh_mapping (dict): A mapping of Diffie-Hellman groups to their corresponding identifiers

        enc_mapping (dict): A mapping of encryption algorithms to their corresponding identifiers

        hash_mapping (dict): A mapping of hash functions to their corresponding identifiers

        prf_mapping (dict): A mapping of Pseudo-Random Functions to their corresponding identifiers

    Methods:
        parse_ike_proposal(proposal): Parses a single IKE or ESP proposal string into a structured dictionary with encryption, hash, PRF, and DH group information.

        process_proposals(proposal_list): Processes a comma-separated list of IKE or ESP proposals, concatenating encryption, hash, PRF (for IKE), and DH group values, and indicating whether PFS is enabled for ESP proposals.

    """
    
    def __init__(self):
        """Initialize the parser with mappings for DH groups, encryption, hash, and PRF."""
        self.dh_mapping = {
            'MODP_768': '1',
            'MODP_1024': '2',
            'MODP_1536': '5',
            'MODP_2048': '14',
            'MODP_3072': '15',
            'MODP_4096': '16',
            'MODP_6144': '17',
            'MODP_8192': '18',
            'ECP_256': '19',
            'ECP_384': '20',
            'ECP_521': '21',
            'ECP_192': '25',
            'ECP_224': '26',
            'MODP_1024_160': '22',
            'MODP_2048_224': '23',
            'MODP_2048_256': '24',
            'FFDHE_2048': '256',
            'FFDHE_3072': '257',
            'FFDHE_4096': '258',
            'FFDHE_6144': '259',
            'FFDHE_8192': '260',
            'ECP_224_BP': '27',
            'ECP_256_BP': '28',
            'ECP_384_BP': '29',
            'ECP_512_BP': '30',
            'CURVE_25519': '31',
            'CURVE_448': '32',
        }
        
        self.enc_mapping = {
            'AES_CBC_128': 'AES128',
            'AES_CBC_192': 'AES192',
            'AES_CBC_256': 'AES256',
            'AES_GCM_16_128': 'AES128-GCM-16',
            'AES_GCM_16_192': 'AES192-GCM-16',
            'AES_GCM_16_256': 'AES256-GCM-16',
            'AES_GCM_8_128': 'AES128-GCM-8',
            'AES_GCM_8_256': 'AES256-GCM-8',
            'AES_GCM_12_128': 'AES128-GCM-12',
            'AES_GCM_12_256': 'AES256-GCM-12',
            'AES_CCM_16_128': 'AES128-CCM-16',
            'AES_CCM_16_256': 'AES256-CCM-16',
            'AES_CTR_128': 'AES128-CTR',
            'AES_CTR_192': 'AES192-CTR',
            'AES_CTR_256': 'AES256-CTR',
            '3DES_CBC': '3DES',
            'DES_CBC': 'DES',
            'CAMELLIA_CBC_128': 'CAMELLIA128',
            'CAMELLIA_CBC_256': 'CAMELLIA256',
            'CHACHA20_POLY1305': 'CHACHA20-POLY1305',
            'BLOWFISH_CBC': 'BLOWFISH',
            'CAST5_CBC': 'CAST5'
        }
        
        self.hash_mapping = {
            'HMAC_MD5': 'MD5',
            'HMAC_MD5_96': 'MD5',
            'HMAC_SHA1': 'SHA1',
            'HMAC_SHA1_96': 'SHA1',
            'HMAC_SHA2_256': 'SHA2-256',
            'HMAC_SHA2_256_128': 'SHA2-256',
            'HMAC_SHA2_384': 'SHA2-384',
            'HMAC_SHA2_384_192': 'SHA2-384',
            'HMAC_SHA2_512': 'SHA2-512',
            'HMAC_SHA2_512_256': 'SHA2-512',
            'HMAC_SHA3_224': 'SHA3-224',
            'HMAC_SHA3_256': 'SHA3-256',
            'HMAC_SHA3_384': 'SHA3-384',
            'HMAC_SHA3_512': 'SHA3-512',
            'AES_GMAC_128': 'GMAC-128',
            'AES_GMAC_192': 'GMAC-192',
            'AES_GMAC_256': 'GMAC-256',
            'POLY1305': 'POLY1305'
        }
        
        self.prf_mapping = {
            'PRF_HMAC_MD5': 'MD5',
            'PRF_HMAC_SHA1': 'SHA1',
            'PRF_HMAC_SHA2_256': 'SHA2-256',
            'PRF_HMAC_SHA2_384': 'SHA2-384',
            'PRF_HMAC_SHA2_512': 'SHA2-512',
            'PRF_AES128_CMAC': 'AES128-CMAC',
            'PRF_AES128_XCBC': 'AES128-XCBC',
            'PRF_HMAC_SHA3_224': 'SHA3-224',
            'PRF_HMAC_SHA3_256': 'SHA3-256',
            'PRF_HMAC_SHA3_384': 'SHA3-384',
            'PRF_HMAC_SHA3_512': 'SHA3-512'
        }

    def parse_ike_proposal(self, proposal):
        """
        Parse an IKE or ESP proposal string into a structured format.

        Args:
            proposal (str): The proposal string, e.g., "IKE:AES_CBC_256/HMAC_SHA2_256/PRF_HMAC_SHA2_256/MODP_2048"
            
        Returns:
            dict: A dictionary with keys 'encryption', 'hash', 'prf', and 'dh_group'
        """

        # Split the proposal into components based on '/'
        components = proposal.split('/')
        
        result = {
            'encryption': [],
            'hash': [],
            'prf': [],
            'dh_group': []
        }
        
        
        is_ike = proposal.startswith('IKE:')
        is_esp = proposal.startswith('ESP:')
        

        # Remove IKE or ESP prefix if present for easier parsing later
        if is_ike or is_esp:
            components[0] = components[0].replace('IKE:', '').replace('ESP:', '')
        

        
        # Determine the current section based on the first component
        # Determine the current section based on the first component
        enc_components = []
        hash_components = []
        prf_components = []
        dh_components = []
        unknown_components = []  # To track unrecognized components

        for component in components:
            categorized = False

            # Encryption components
            if (component in self.enc_mapping or 
                any(s in component for s in ['AES_CBC', 'AES_GCM', 'AES_CTR', 'CHACHA20', 
                                            'BLOWFISH', 'CAST5', 'DES', '3DES', 'CAMELLIA'])):
                enc_components.append(component)
                categorized = True

            # Hash components
            if (component in self.hash_mapping or 
                any(s in component for s in [ 'HMAC_MD5', 'POLY1305', 'AES_GMAC'])):
                hash_components.append(component)
                categorized = True
            else:
                hash_components.append("None")

            # PRF components (only if is_ike is True)
            if is_ike and 'PRF_' in component:
                prf_components.append(component)
                categorized = True

            # Diffie-Hellman components
            if (component in self.dh_mapping or 
                any(s in component for s in ['MODP', 'ECP', 'FFDHE', 'CURVE'])):
                dh_components.append(component)
                categorized = True

            # Skip irrelevant components
            if component == 'NO_EXT_SEQ':
                continue

            # Log unrecognized components
            if not categorized:
                unknown_components.append(component)

        # Optional: Log or handle unknown components
        if unknown_components:
            print(f"Warning: Unrecognized components: {unknown_components}")
        

        # Map encryption components
        for enc in enc_components:
            mapped_enc = self.enc_mapping.get(enc, 'Unknown')
            if mapped_enc != 'Unknown' and mapped_enc not in result['encryption']:
                result['encryption'].append(mapped_enc)
        
        # Map hash components (skip for AEAD ciphers like AES-GCM)
        #if not any(enc.startswith('AES_GCM') or enc.startswith('AES_CCM') or enc == 'CHACHA20_POLY1305' for enc in enc_components):
        for hash_val in hash_components:
            print(hash_components)
            mapped_hash = self.hash_mapping.get(hash_val, 'Unknown')
            if mapped_hash != 'Unknown' and mapped_hash not in result['hash']:
                result['hash'].append(mapped_hash)
            if mapped_hash == 'Unknown':
                result['hash'].append(mapped_hash)

        
        # Map PRF components
        for prf in prf_components:
            mapped_prf = self.prf_mapping.get(prf, 'Unknown')
            if mapped_prf == "Unknown":
                result['prf'].append(mapped_prf)
            if mapped_prf != 'Unknown' and mapped_prf not in result['prf']:
                result['prf'].append(mapped_prf)


        # Map DH group components
        for dh in dh_components:
            mapped_dh = self.dh_mapping.get(dh)
            if mapped_dh != 'None' and mapped_dh not in result['dh_group']:
                result['dh_group'].append(mapped_dh)

        
        # Handle ESP case (no PRF for ESP proposals)
        if is_esp:
            result['prf'] = ['None']
        
        if not result['encryption']:
            result['encryption'] = ['Unknown']

        # if not result['hash']:
        #     result['hash'] = ['Unknown']
        
        print(result['hash'])

        return result

    def process_proposals(self, proposal_list):
        """
        Process a list of IKE or ESP proposals, concatenating encryption, hash, PRF (for IKE only), 
        and DH group values, and indicate whether PFS is enabled for ESP proposals only.
        
        Args:
            proposal_list (str): Comma-separated string of IKE or ESP proposals
        
        Returns:
            str: Formatted string with concatenated encryption, hash, PRF (for IKE), DH groups, and PFS status (for ESP)
        """
        proposal_list = proposal_list.replace(',', ', ')
        proposals = proposal_list.strip().split(', ')

        
        # Collect unique encryption, hash, PRF, and DH groups
        enc_set = set()
        hash_set = set()
        prf_set = set()
        dh_set = set()
        


        # Parse each proposal and update the sets for later sorting and formatting
        for proposal in proposals:
            parsed = self.parse_ike_proposal(proposal.strip())
            print(parsed)
            enc_set.update(parsed['encryption'])
            if parsed['hash'] != ['None']:
                hash_set.update(parsed['hash'])
            else:
                hash_set.update(parsed['hash'])
            if parsed['prf'] != ['None']:
                prf_set.update(parsed['prf'])
            if parsed['dh_group'] != ['None']:
                dh_set.update(parsed['dh_group'])

        
        # Convert sets to sorted lists
        enc_list = sorted(list(enc_set))
        hash_list = sorted(list(hash_set))
        prf_list = sorted(list(prf_set))
        dh_list = sorted(list(dh_set), key=lambda x: int(x))

        
        # Determine PFS status for ESP proposals only
        is_ike = any(proposal.startswith('IKE:') for proposal in proposals)
        pfs_status = "PFS: Enabled" if dh_set and not is_ike else "PFS: None"

        
        # Format output as a single concatenated string
        enc_part = f"Encryption: {', '.join(enc_list)}" if enc_list else "Encryption: None"
        hash_part = f"Hash: {', '.join(hash_list)}"
        dh_part = f"DH Group(s): {', '.join(dh_list)}" if dh_list else "DH Group(s): None"
        prf_part = f"PRF: {', '.join(prf_list)}" if prf_list else "PRF: None"

        
        # Return formatted string based on whether it's an IKE or ESP proposal
        if is_ike:
            return f"{enc_part} {hash_part} {prf_part} {dh_part}"
        else:
            return f"{enc_part} {hash_part} {dh_part} {pfs_status}"
            
# Example usage
if __name__ == "__main__":
    parser = ProposalParser()

    unknown_hash = "IKE:AES_CBC_256/INVALID_HASH/PRF_HMAC_SHA2_256/MODP_2048"
    none_hash = "IKE:AES_CBC_256/PRF_HMAC_SHA2_256/MODP_2048"

    # Outputs Encryption: AES256 Hash: Unknown PRF: SHA2-256 DH Group(s): 14 <-- Correct!
    print(parser.process_proposals(unknown_hash))

    # Outputs Encryption: AES256 Hash: Unknown PRF: SHA2-256 DH Group(s): 14 <-- Incorrect
    print(parser.process_proposals(none_hash))