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# you will be asked to implement a propositional and first order logic tableau, using Python.

INSTRUCTIONS TO CANDIDATES

Technical Brief

For this assignment, you will be asked to implement a propositional and first order logic tableau, using Python. Your program will be run on an unseen input file and tested against the model output. Your program will be expected to correctly identify the type of a propositional/first order logic formula, and identify whether it is satisfiable, not satisfiable, or (in the case of FOL tableau) satisfiablility cannot be determined after introducing 10 new constants in the d-expansions on any given open branch.

IMPORTANT: Your file must not include any import statements. If your submission contains an import statement, it will be considered as cheating, you will receive a mark of 0.

Below we define both the language of propositional and first order logic. We limit our propositional letters to p, q, r, s, and our Binary connectives to con- junctions, disjunctions, and implications. White space or extra brackets are not allowed in formulas.

FMLA PROP

| -FMLA

| (FMLA FMLA)

PROP= plqirls * := "|v|>

(Proposition) (Negation)

(Binary Connective)

(and, or, implies)

Similarly for FOL, we limit our variables to x, y, z, w, no function symbols, and the only predicates are binary predicates P, Q, R, S.

var := x❘y|z|w

PRED

PIQIRIS

* := |v|>

FMLA = PRED (var, var) (Atom)

| -FMLA

| EvarFMLA

| AvarFMLA

| (FMLA*FMLA)

(Negation)

(Existentially Quantified)

(Universally Quantified)

(Binary Connective)

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