```ts
export function stampTable(dies: [string, number][]): Map<string, number> {
    const table = new Map<string, number>();
    for (const [fragment, price] of dies) {
        if (typeof fragment !== 'string' || fragment === '' || typeof price !== 'number' || price <= 0 || !Number.isInteger(price)) {
            throw new Error('Invalid die fragment or price');
        }
        if (table.has(fragment)) {
            throw new Error('Duplicate die fragment');
        }
        table.set(fragment, price);
    }
    return table;
}

export function stampCover(label: string, dies: [string, number][]): number {
    const table = stampTable(dies);
    const dp = Array(label.length + 1).fill(Infinity);
    dp[0] = 0;

    for (let i = 1; i <= label.length; i++) {
        for (const [fragment, price] of table.entries()) {
            if (i >= fragment.length && label.slice(i - fragment.length) === fragment) {
                dp[i] = Math.min(dp[i], dp[i - fragment.length] + price);
            }
        }
    }

    return dp[label.length] === Infinity ? 0 : dp[label.length];
}
```