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