By Larry M. Hyman

With the reissue of this treatise, an instrumental step within the improvement of either moraic phonology and prosodic morphology turns into to be had back. This crucial textual content provides a complete therapy of syllable weight in phonology and of its effects for weight-related phenomena, offering that the elemental tier includes weight devices comparable to the morals of conventional synchronic and diachronic phonology. Turning to the weird Gokana language of Nigeria, which can lack syllables totally, Hyman argues that the proposed moraic representations may also be utilized to many it appears syllable-based phenomena without syllables.

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At first sight, this is a bit trickier since we somehow have to make sure that ψ could not have been obtained by any sequence of construction rules. Let us look at the formula (¬)() ∨ pq → from above. We can decide this matter by being very observant. ); but the only time we can put a ‘)’ to the right of something is if that something is a well-formed formula (again, check all the rules to see that this is so). Thus, (¬)() ∨ pq → is not well-formed. Probably the easiest way to verify whether some formula φ is well-formed is by trying to draw its parse tree.

And p1 , p2 , p3 , . . is a wellformed formula. ¬: If φ is a well-formed formula, then so is (¬φ). ∧: If φ and ψ are well-formed formulas, then so is (φ ∧ ψ). ∨: If φ and ψ are well-formed formulas, then so is (φ ∨ ψ). →: If φ and ψ are well-formed formulas, then so is (φ → ψ). It is most crucial to realize that this definition is the one a computer would expect and that we did not make use of the binding priorities agreed upon in the previous section. Convention. In this section we act as if we are a rigorous computer and we call formulas well-formed iff they can be deduced to be so using the definition above.

The definition of k l with l ≥ 0). Sentence (3) on page 2 suggests there may be true properties M (n) for which mathematical induction won’t work. Course-of-values induction. There is a variant of mathematical induction in which the induction hypothesis for proving M (n + 1) is not just M (n), but the conjunction M (1) ∧ M (2) ∧ · · · ∧ M (n). In that variant, called courseof-values induction, there doesn’t have to be an explicit base case at all – everything can be done in the inductive step. How can this work without a base case?

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A Theory of phonological wieght by Larry M. Hyman

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