• Q0 is Peter Andrews' formulation of the simply-typed lambda calculus, and provides a foundation for mathematics comparable to first-order logic plus set...
    9 KB (1,135 words) - 18:33, 25 October 2023
  • Q0 may refer to: a graphics file format with extension .q0 Q0, a formulation of higher-order typed logic in mathematics a variable used in a digital counter...
    337 bytes (67 words) - 09:08, 7 May 2024
  • Prolog (category Logic programming languages)
    simple example Turing machine is specified by the facts: rule(q0, 1, q0, 1, right). rule(q0, b, qf, 1, stay). This machine performs incrementation by one...
    70 KB (7,988 words) - 06:59, 16 May 2024
  • Thumbnail for Peter B. Andrews
    Peter B. Andrews (category Mathematical logicians)
    Professor of Mathematics, Emeritus at Carnegie Mellon University in Pittsburgh, Pennsylvania, and the creator of the mathematical logic Q0. He received...
    3 KB (315 words) - 13:20, 21 April 2024
  • Thumbnail for Deterministic finite automaton
    the input contains an even number of 0s. M = (Q, Σ, δ, q0, F) where Q = {S1, S2} Σ = {0, 1} q0 = S1 F = {S1} and δ is defined by the following state transition...
    29 KB (3,605 words) - 20:35, 13 May 2024
  • Thumbnail for State diagram
    automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite set of states, normally represented by circles and...
    15 KB (1,958 words) - 09:34, 21 May 2024
  • the finite. This proof is taken from Chapter 10, section 4, 5 of Mathematical Logic by H.-D. Ebbinghaus. As in the most common proof of Gödel's First...
    11 KB (1,894 words) - 10:01, 3 February 2024
  • that year by Andrews in his theory Q0. In this respect ST can be seen as a particular kind of a higher-order logic, classified by P.T. Johnstone in Sketches...
    7 KB (944 words) - 20:45, 29 February 2024
  • Relation algebra (category Mathematical logic)
    unlike the case in mathematical logic generally. RA can express any (and up to logical equivalence, exactly the) first-order logic (FOL) formulas containing...
    25 KB (2,546 words) - 06:17, 16 February 2024
  • finite automaton with ε-moves (ε-NFA) is defined as a 5-tuple, (Q, Σ, δ, q0, F), consisting of a finite set of states Q a finite set of input symbols...
    10 KB (1,210 words) - 20:44, 4 February 2024