
A Proof Theory for Generic Judgments
... intended as variables to be substituted. This enrichment to proof theory (discussed here in Section 4) holds promise for providing proof systems for the direct reasoning of logic specifications (see, for example, the above mentioned papers as well as [McDowell and Miller 2002; McDowell et al. 2003]) ...
... intended as variables to be substituted. This enrichment to proof theory (discussed here in Section 4) holds promise for providing proof systems for the direct reasoning of logic specifications (see, for example, the above mentioned papers as well as [McDowell and Miller 2002; McDowell et al. 2003]) ...
Version 1.5 - Trent University
... Definition 1.3. Suppose ϕ is a formula of LP . The set of subformulas of ϕ, S(ϕ), is defined as follows. 1. If ϕ is an atomic formula, then S(ϕ) = {ϕ}. 2. If ϕ is (¬α), then S(ϕ) = S(α) ∪ {(¬α)}. 3. If ϕ is (α → β), then S(ϕ) = S(α) ∪ S(β) ∪ {(α → β)}. For example, if ϕ is (((¬A1) → A7 ) → (A8 → A1) ...
... Definition 1.3. Suppose ϕ is a formula of LP . The set of subformulas of ϕ, S(ϕ), is defined as follows. 1. If ϕ is an atomic formula, then S(ϕ) = {ϕ}. 2. If ϕ is (¬α), then S(ϕ) = S(α) ∪ {(¬α)}. 3. If ϕ is (α → β), then S(ϕ) = S(α) ∪ S(β) ∪ {(α → β)}. For example, if ϕ is (((¬A1) → A7 ) → (A8 → A1) ...
2017 Discrete Math Pacing Guide
... 2016 – 2017 Pacing Guide Discrete Math Twelfth Grade Math Practices: The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longsta ...
... 2016 – 2017 Pacing Guide Discrete Math Twelfth Grade Math Practices: The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longsta ...