Boolalg – Truth tables, step-by-step simplification, and algebraic proofs for Boolean

The boolalg package provides pure-TeX macros for parsing, evaluating, simplifying, and proving Boolean algebra expressions without requiring external tools, Python, or shell-escape:

– \btable and \btable*: Generate truth tables with intermediate subexpression columns and optional simplified results. – \bsimplify and \bsimplify*: Perform step-by-step algebraic simplification with explicit law justifications (Idempotence, Absorption, Consensus theorem, De Morgan’s laws, Distributivity, etc.). – \bprove: Construct step-by-step algebraic proofs between two equivalent expressions, or automatically find and print a concrete counterexample if the claim is false.

Expressions support flexible input syntax including implicit multiplication (AB), postfix primes (A'), prefix operators (!, ~), English words (and, or, xor, nand, nor, xnor, not), and standard LaTeX math symbols (\land, \lor, \oplus, \lnot, etc.).

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