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admissible and derivable rules in intuitionistic logic
admissible and derivable rules in intuitionistic logic

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Redundancies in the Hilbert-Bernays derivability conditions for

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One-dimensional Fragment of First-order Logic

... Two-variable logic and guarded-fragment are examples of decidable fragments of first-order logic that are not based on restricting the quantifier alternation patterns of formulae, unlike the prefix classes studied in the context of the classical decision problem. Surprisingly, not many such framewor ...
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Laws of Form

Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: The primary arithmetic (described in Chapter 4 of LoF), whose models include Boolean arithmetic; The primary algebra (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; Equations of the second degree (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA).Boundary algebra is Dr Philip Meguire's (2011) term for the union of the primary algebra (hereinafter abbreviated pa) and the primary arithmetic. ""Laws of Form"" sometimes loosely refers to the pa as well as to LoF.
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