A) An interpretation based on mathematical induction. B) An interpretation of a first-order logic formula by assigning concrete values to variables. C) An interpretation used in software engineering. D) An interpretation that relies on axiomatic systems.
A) To transform a proof into a canonical form for easier analysis. B) To eliminate the need for formal proofs. C) To add complexity to a proof in order to make it more convincing. D) To standardize the notation used in mathematical proofs.
A) Counting the number of logical connectives in a formula. B) Determining the truth value of a proposition. C) The study of the resources required to prove mathematical theorems. D) Measuring the length of a mathematical proof.
A) Every proof containing a cut can be transformed into a cut-free proof. B) The rule that cuts are necessary for valid proofs. C) The principle that cuts cannot be used in formal logic. D) The property that all proofs must eliminate cuts.
A) A historical event in proof theory. B) A rule for constructing mathematical proofs. C) A correspondence between proofs and computer programs in intuitionistic logic. D) A type of logical inference.
A) IF, THEN, ELSE. B) ADD, SUBTRACT, MULTIPLY. C) AND, OR, NOT. D) FOR, WHILE, DO.
A) Gerhard Gentzen. B) Henri Poincaré. C) Alonzo Church. D) Alfred Tarski.
A) The theorems show the limitations of formal proof systems. B) The theorems eliminate the need for proof complexity. C) The theorems provide new techniques for proof construction. D) The theorems establish standard axiomatic systems. |