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